The color of certain crystals can come from the fact that an electron is trapped in a 'cage' formed by nearby atoms. For example, for NaCl (or Na+Cl-), it is possible to eject an atom of Cl and trap the electron left behind in a cage that can be modelled by a 3D infinite potential well. For NaCl, the width in each dimension of this cage is 5 Å. The crystal can absorb light by exciting such trapped electrons from the ground state to the first excited state. Calculate the wavelength of the absorbed light. What's then the color of such NaCl crystals containing trapped electrons?

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Chapter1: The Study Of Minerals
Section: Chapter Questions
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The color of certain crystals can come from the fact that an electron is trapped in a 'cage' formed by nearby atoms.
For example, for NaCl (or Na+Cl-), it is possible to eject an atom of Cl and trap the electron left behind in a
cage that can be modelled by a 3D infinite potential well. For NaCl, the width in each dimension of this cage
is 5 Å. The crystal can absorb light by exciting such trapped electrons from the ground state to the first excited
state. Calculate the wavelength of the absorbed light. What's then the color of such NaCl crystals
containing trapped electrons?
Transcribed Image Text:The color of certain crystals can come from the fact that an electron is trapped in a 'cage' formed by nearby atoms. For example, for NaCl (or Na+Cl-), it is possible to eject an atom of Cl and trap the electron left behind in a cage that can be modelled by a 3D infinite potential well. For NaCl, the width in each dimension of this cage is 5 Å. The crystal can absorb light by exciting such trapped electrons from the ground state to the first excited state. Calculate the wavelength of the absorbed light. What's then the color of such NaCl crystals containing trapped electrons?
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